Defining normal subgroups of unipotent algebraic groups
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- by A. Fauntleroy PDF
- Proc. Amer. Math. Soc. 50 (1975), 14-19 Request permission
Abstract:
Let $G$ be a connected unipotent algebraic group defined over the perfect field $k$. We show that polynomial generators ${x_1}, \cdots ,{x_n}$ for the ring $k[G]$ can be chosen so that if $N$ is any connected normal $k$-closed subgroup of $G$, then $I(N)$ can be generated by $\operatorname {co} \dim N$ $p$-polynomials in ${x_1}, \cdots ,{x_n}$ where $p = \operatorname {char} k$. Moreover $k[G/N]$ can also be generated as a polynomial algebra over $k$ by $p$-polynomials.References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 50 (1975), 14-19
- MSC: Primary 20G15
- DOI: https://doi.org/10.1090/S0002-9939-1975-0409674-8
- MathSciNet review: 0409674